{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Day03 认识Axes\n",
    "\n",
    "　　正式进入`matplotlib`系统性学习的第二天，今天我们来学习`matplotlib`中有关`Axes`对象的概念。\n",
    "  \n",
    "　　在昨天的日程中我们介绍了`matplotlib`中充当画布作用的`Figrue`对象，有了画布，接下来自然是在画布上叠加我们的图像。既然是通过程序操纵计算机绘图，非常重要的概念就是坐标系，只有先确定好坐标系，我们才能将数据点等视觉元素绘制到正确恰当的位置上，这就是我们今天要介绍的`Axes`对象的作用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-10-14T11:37:12.591113Z",
     "iopub.status.busy": "2020-10-14T11:37:12.590149Z",
     "iopub.status.idle": "2020-10-14T11:37:12.765644Z",
     "shell.execute_reply": "2020-10-14T11:37:12.765644Z",
     "shell.execute_reply.started": "2020-10-14T11:37:12.591113Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "matplotlib版本： 3.0.3\n"
     ]
    }
   ],
   "source": [
    "import matplotlib;print('matplotlib版本：', matplotlib.__version__)\n",
    "import matplotlib.pyplot as plt # 从matplotlib中导入我们最经常使用的pyplot子模块"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "　　如常导入`matplotlib.pyplot`之后，依然使用`plt.subplots()`来初始化画布与坐标系，其对应返回的而第二个位置上的元素就属于`Axes`对象的范畴："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-10-14T11:37:12.766642Z",
     "iopub.status.busy": "2020-10-14T11:37:12.766642Z",
     "iopub.status.idle": "2020-10-14T11:37:12.878377Z",
     "shell.execute_reply": "2020-10-14T11:37:12.878377Z",
     "shell.execute_reply.started": "2020-10-14T11:37:12.766642Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-10-14T11:37:12.880350Z",
     "iopub.status.busy": "2020-10-14T11:37:12.879376Z",
     "iopub.status.idle": "2020-10-14T11:37:12.884328Z",
     "shell.execute_reply": "2020-10-14T11:37:12.884328Z",
     "shell.execute_reply.started": "2020-10-14T11:37:12.880350Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matplotlib.axes._subplots.AxesSubplot"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "　　常用的主要有两种坐标系——**笛卡尔坐标系**与**极坐标系**：\n",
    "\n",
    "　　对于**笛卡尔坐标系**，也就是默认的**X-Y**平面坐标系，我们可以利用`Axes`类对象的`plot()`方法在坐标系中绘制折线，利用`scatter()`方法绘制散点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-10-14T11:37:12.886323Z",
     "iopub.status.busy": "2020-10-14T11:37:12.885324Z",
     "iopub.status.idle": "2020-10-14T11:37:13.001049Z",
     "shell.execute_reply": "2020-10-14T11:37:13.001049Z",
     "shell.execute_reply.started": "2020-10-14T11:37:12.886323Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "\n",
    "# 绘制折线\n",
    "ax.plot([0, 1, 2], [0, 1, 2])\n",
    "\n",
    "# 绘制散点\n",
    "ax.scatter([1, 2, 3], [0, 1, 2]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "　　而**极坐标系**，则需要添加参数`subplot_kw={'projection': 'polar'}`来初始化，这时再想绘制出折线与散点，x、y的概念就变成了theta、r的概念，前者控制弧度，后者控制半径，$2pi$即为一整圈360度："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-10-14T11:37:13.002048Z",
     "iopub.status.busy": "2020-10-14T11:37:13.002048Z",
     "iopub.status.idle": "2020-10-14T11:37:13.304238Z",
     "shell.execute_reply": "2020-10-14T11:37:13.304238Z",
     "shell.execute_reply.started": "2020-10-14T11:37:13.002048Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 5), subplot_kw={'projection': 'polar'})\n",
    "\n",
    "# 绘制折线\n",
    "ax.plot([0, 0.5*np.pi, np.pi], [1, 2, 3])\n",
    "\n",
    "# 绘制散点\n",
    "ax.scatter([0, -0.5*np.pi, -np.pi], [1, 2, 3]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 课后测验：\n",
    "\n",
    "　　相信通过上面的内容，你已经对`matplotlib`中的`Axes`坐标系概念有了一定了解，为了巩固知识，请你利用上面介绍到的`plot()`方法，想办法分别在**笛卡尔坐标系**和**极坐标系**下绘制出正方形，自由发挥，其他参数不限制，只要看起来是正方形就可以。\n",
    "\n",
    "* 请在今天对应的帖子下回复你的文字代码以及导出图片的截图，每个坐标系分别回复"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1d3d33fde48>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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sMuvZz7GnnZz9BY/X84sveHzlgr/frDd8lo3eDPznJAzvmVx3B8tnR7D8N9g/A6eBrwAvmfXMG9zHvwH/DTw4+To665k3updVazdt/Ab+XAL8LXAS+Dqwf9Yzb3Afu4EvT8L4IPC7s575HHv5NPA48FOWz/JuAd4GvG3Fz+TQZK9fH+P3l29vk9TSZnzOT5KmzvhJasn4SWrJ+ElqyfhJasn4SWrJ+Elq6f8A51CiG/Io7GoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "\n",
    "# 绘制折线\n",
    "ax.plot([0, 1, 1, 0, 0], [0, 0, 1, 1, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1d3d2f28358>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5), subplot_kw={'projection': 'polar'})\n",
    "\n",
    "# 绘制折线\n",
    "ax.plot([0, 0.5*np.pi, np.pi, 1.5*np.pi, 0], [1, 1, 1, 1, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
